If I refuse lite duty while out on workers compensation can they fire me for refusing work.

If the light duty work is within your medical restrictions and you do not at least try it, your light duty benefits may be stopped because you refused it.  Make sure that the work is within the restrictions given by the doctor. If you are able to do the work, your earnings will offset the WC payments, however, if you try the job and cannot do it and your doctor agrees, your comp. benefits should return to the same amount you received while at home.